Magnetoinductive breathers in magnetic metamaterials

Abstract

The existence and stability of discrete breathers (DBs) in one-dimensional and two-dimensional magnetic metamaterials (MMs), which consist of periodic arrangem ents (arrays) of split-ring resonators (SRRs), is investigated numerically. We consider different configurations of the SRR arrays, which are related to the relative orientation of the SRRs in the MM, both in one and two spatial dimensions. In the latter case we also consider anisotropic MMs. Using standard numerical methods we construct several types of linearly stable breather excitations both in Hamiltonian and dissipative MMs (dissipative breathers). The study of stability in both cases is performed using standard Floquet analysi s. In both cases we found that the increase of dimensionality from one to two spatial dimensions does not destroy the DBs, which may also exist in the case of moderate anisotropy (in two dimensions). In dissipative MMs, the dynamics is governed by a power balance between the mainly Ohmic dissipation and driving by an alternating magnetic field. In that case it is demonstrated that DB excitation locally alters the magnetic response of MMs from paramagnetic to diamagnetic. Moreover, when the frequency of the applied field approaches the SRR resonance frequency, the magnetic response of the MM in the region of the DB excitation may even become negative (extreme diamagnetic).

12 pages 15 figures

References in corpus (20)

• Discrete Breathers
• Nonlinear properties of left-handed metamaterials
• Discrete breathers in nonlinear lattices: Experimental detection in a Josephson array
• Experimental Generation and Observation of Intrinsic Localized Spin Wave Modes in an Antiferromagnet
• Tunable split-ring resonators for nonlinear negative-index metamaterials
• Discrete breathers in nonlinear magnetic metamaterials
• Evidence for moving breathers in a layered crystal insulator at 300K
• Localized moving breathers in a 2-D hexagonal lattice
• Moving discrete breathers?
• rf SQUID metamaterials
• Discrete breathers in dissipative lattices
• Discrete Nonlinear Schr{ö}dinger Breathers in a Phonon Bath
• Self-focusing and envelope pulse generation in nonlinear magnetic metamaterials
• Nonlinear magnetoinductive waves and domain walls in composite metamaterials
• Acoustic breathers in two-dimensional lattices
• Driven localized excitations in the acoustic spectrum of small nonlinear macroscopic and microscopic lattices
• Intrinsically localized chaos in discrete nonlinear extended systems
• Dark breathers in Klein-Gordon lattices. Band analysis of their stability properties
• Discrete Breathers in Two-Dimensional Anisotropic Nonlinear Schrodinger lattices
• Mode-Locking of mobile discrete breathers

Cited by in corpus (9)

• Nonlinear response of a thin metamaterial film containing Josephson junctions
• Bulk and surface magnetoinductive breathers in binary metamaterials
• Discrete dissipative localized modes in nonlinear magnetic metamaterials
• Bright Breathers in Nonlinear Left-Handed Metamaterial Lattices
• Polarization rotation by an rf-SQUID metasurface
• Dissipative discrete breathers in rf SQUID metamaterials
• Multistability and localization in coupled nonlinear split-ring resonators
• Driven linear modes: Analytical solutions for finite discrete systems
• Local negative magnetic permeability and possibility of observation of breather excitations in magnetic metamaterials